Loop groups and the path model (B04)
Loop groups and the path model (B04)
循环组和路径模型（B04）
批准号：
331168505
负责人：
金额：
$0.0万
依托单位：
依托单位国家：
德国
项目类别：
CRC/Transregios
财政年份：
2017
资助国家：
德国
项目状态：
已结题
起止时间：
2016-12-31 至 2019-12-31
中文摘要
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英文摘要
The project intends to give a geometric reinterpretation of the combinatorial path model in representation theory. The aim is to merge various points of view on the geometric and topological construction of bases of representations of semisimple Lie algebras and their associated combinatorial models. One of these points of view is symplectic; it is based on the study of Mirković-Vilonen polytopes, which characterize one such basis and arise as the image under the momentum map of the relevant basis. Variational methods enter via Morse theory on loop groups.
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